Linear algebra: for everyone

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This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra.

It is the translation of a successful textbook currently being used in Italy. The author is a mathematician sensitive to the needs of a general audience.

In addition to introducing fundamental ideas in Linear Algebra through a wide variety of interesting examples, the book also discusses topics not usually covered in an elementary text (e.g. the "cost" of operations, generalized inverses, approximate solutions). The challenge is to show why the "everyone" in the title can find Linear Algebra useful and easy to learn.

The translation has been prepared by a native English speaking mathematician, Professor Anthony V. Geramita.

Author(s): Lorenzo Robbiano (auth.)
Series: Unitext La Matematica Per Il 3+2
Edition: 1
Publisher: Springer-Verlag Mailand
Year: 2011

Language: English
Pages: 218
Tags: Linear and Multilinear Algebras, Matrix Theory

Front Matter....Pages I-XVII
Numerical and Symbolic Computations....Pages 1-6
Front Matter....Pages 7-7
Systems of Linear Equations and Matrices....Pages 9-23
Operations with Matrices....Pages 25-48
Solutions of Systems of Linear Equations....Pages 49-79
Coordinate Systems....Pages 81-108
Front Matter....Pages 109-109
Quadratic Forms....Pages 111-132
Orthogonality and Orthonormality....Pages 133-148
Projections, Pseudoinverses and Least Squares....Pages 149-167
Endomorphisms and Diagonalization....Pages 169-191
Back Matter....Pages 193-218